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The critical brain hypothesis has emerged as an attractive framework to understand neuronal activity, but it is still widely debated. In this work, we analyze data from a multi-electrodes array in the rat's cortex and we find that power-law…

Statistical Mechanics · Physics 2022-07-08 Benedetta Mariani , Giorgio Nicoletti , Marta Bisio , Marta Maschietto , Stefano Vassanelli , Samir Suweis

Much work has studied effective interactions between micron-sized particles carrying linkers forming reversible, inter-particle linkages. These studies allowed understanding the equilibrium properties of colloids interacting through…

Soft Condensed Matter · Physics 2019-12-11 Pritam Kumar Jana , Bortolo Matteo Mognetti

Spatially extended systems can support local transient excitations in which just a part of the system is excited. The mechanisms reported so far are local excitability and excitation of a localized structure. Here we introduce an…

Pattern Formation and Solitons · Physics 2017-03-01 P. Parra-Rivas , M. A. Matias , P. Colet , L. Gelens , D. Walgraef , D. Gomila

We investigate the emergent interactions between two active Brownian particles coupled by an attractive harmonic potential and in contact with a thermal reservoir. By analyzing the stationary distribution of their separation, we demonstrate…

Statistical Mechanics · Physics 2025-10-08 Ritwick Sarkar , Sreya Chatterjee , Urna Basu

The motion of a particle in a correlated random potential under the influence of a driving force is investigated in mean field theory. The correlations of the disorder are characterized by a short distance cutoff and a power law decay with…

Condensed Matter · Physics 2009-10-28 Heinz Horner

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

Quantum Gases · Physics 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

We consider a model system of persistent random walkers that can jam, pass through each other or jump apart (recoil) on contact. In a continuum limit, where particle motion between stochastic changes in direction becomes deterministic, we…

Statistical Mechanics · Physics 2023-05-03 Matthew J Metson , Martin R Evans , Richard A Blythe

The formation of interface from an initial sharp interface in polydisperse A/B blends is studied using the external potential dynamic method. The present model is a nonlocal coupling model as we take into account the correlation between…

Soft Condensed Matter · Physics 2015-05-13 Shuanhu Qi , Xinghu Zhang , Dadong Yan

We investigate the effect of short-range correlations on the dynamical phase diagram of quantum many-body systems with long-range interactions. Focusing on Ising spin chains with power-law decaying interactions and accounting for…

Statistical Mechanics · Physics 2019-11-13 Giulia Piccitto , Bojan Žunkovič , Alessandro Silva

We study random heteropolymer chain with gaussian distribution of kinds of monomers. The long-range correlations between kinds of monomers were introduce. The mean-field analysis of such heteropolymer indicates the existence of infinite…

Soft Condensed Matter · Physics 2009-09-25 E. Sh. Mamasakhlisov , V. F. Morozov , M. S. Shahinian

We investigate both experimentally and theoretically the traffic of particles flowing in microfluidic obstacle networks. We show that the traffic dynamics is a non-linear process: the particle current does not scale with the particle…

Statistical Mechanics · Physics 2015-05-19 Nicolas Champagne , Romain Vasseur , Adrien Montourcy , Denis Bartolo

Topology in condensed matter physics is typically associated with a bulk energy gap. However, recent research has shifted focus to topological phases without a bulk energy gap, exhibiting nontrivial gapless topological behaviors. In this…

Strongly Correlated Electrons · Physics 2025-01-31 Sheng Yang , Hai-Qing Lin , Xue-Jia Yu

Considering the interactions of two arbitrary particles, we obtain an internal energy expression of the complex system having long-range interactions. Based on the postulate of "equal-probability principle" for all microstates, the…

Statistical Mechanics · Physics 2017-01-19 Yanxiu Liu , Cheng Xu , Zhifu Huang , Bihong Lin , Jincan Chen

Numerous systems ranging from deformation of materials to earthquakes exhibit bursty dynamics, which consist of a sequence of events with a broad event size distribution. Very often these events are observed to be temporally correlated or…

Statistical Mechanics · Physics 2016-12-05 Sanja Janićević , Lasse Laurson , Knut Jørgen Måløy , Stéphane Santucci , Mikko J. Alava

In this paper, we discuss microscopic models for chiral active particles, i.e., rotating active units that exhibit circular or spinning motion. While non-chiral active particles are typically governed by self-propulsion and conservative…

Soft Condensed Matter · Physics 2025-10-20 Lorenzo Caprini , Alessandro Petrini , Umberto Marini Bettolo Marconi

Recently a new type of Kramers-Fokker-Planck Equation has been proposed [R. Friedrich et al. Phys. Rev. Lett. {\bf 96}, 230601 (2006)] describing anomalous diffusion in external potentials. In the present paper the explicit cases of a…

Statistical Mechanics · Physics 2007-05-23 S. Eule , R. Friedrich , F. Jenko

We study collective dynamics of networks of mutually coupled identical Lorenz oscillators near subcritical Hopf bifurcation. This system shows induced multistable behavior with interesting spatio-temporal dynamics including synchronization,…

Chaotic Dynamics · Physics 2022-07-20 Anjuman Ara Khatun , Yusra Ahmed Saeed , Nirmal Punetha , Haider Hasan Jafri

Bursty dynamics of agents is shown to appear at criticality or in extended Griffiths phases, even in case of Poisson processes. I provide numerical evidence for power-law type of inter-communication time distributions by simulating the…

Statistical Mechanics · Physics 2014-04-03 Géza Ódor

A stochastic model for intermittent fluctuations due to a super-position of uncorrelated Lorentzian pulses is presented. For constant pulse duration, this is shown to result in an exponential power spectral density for the stationary…

Plasma Physics · Physics 2017-03-08 O. E. Garcia , A. Theodorsen

We consider a discrete-time system of n coupled random vectors, a.k.a. interacting particles. The dynamics involve a vanishing step size, some random centered perturbations, and a mean vector field which induces the coupling between the…

Probability · Mathematics 2025-06-09 Pascal Bianchi , Walid Hachem , Victor Priser